Question

A conducting rod $PQ$ of length 5m oriented as shown in figure is moving with velocity (2 m/s)$\hat{i}$without rotation in a uniform magnetic field $(3\hat{j}+4\hat{k})$ Tesla. The emf induced in the rod is

• A. 32 volts
• B. 40 volts
• C. 50 volts
• D. none

Answer 1

The correct option is A 32 volts

effective length of the rod that create the $EMF$ due to $z$ component of the field $l=5\sin 53=4m$

$E_z=4\ast 2\ast 4=32$

effective length of the rod that create the $EMF$ due to $y$ component of the field $l=0m$

$E_y=3\ast 2\ast 0=0$

net $EMF=32volt$

Option $A$